Numerical investigation of the dynamics of Janus magnetic particles in a rotating magnetic field

Hui Eun Kim; Kyoungbeom Kim; Tae Yeong Ma; Tae Gon Kang

Korea-Australia Rheology Journal, Vol.29, No.1, 17-27, February, 2017

DOI10.1007/s13367-017-0003-5 Export Citation

Numerical investigation of the dynamics of Janus magnetic particles in a rotating magnetic field

Hui Eun Kim, Kyoungbeom Kim, Tae Yeong Ma, and Tae Gon Kang^†

School of Aerospace and Mechanical Engineering, Korea Aerospace University, Goyang 10540, Republic of Korea

E-mail:

We investigated the rotational dynamics of Janus magnetic particles suspended in a viscous liquid, in the presence of an externally applied rotating magnetic field. A previously developed two-dimensional direct simulation method, based on the finite element method and a fictitious domain method, is employed to solve the magnetic particulate flow. As for the magnetic problem, the two Maxwell equations are converted to a differential equation using the magnetic potential. The magnetic forces acting on the particles are treated by a Maxwell stress tensor formulation, enabling us to consider the magnetic interactions among the particles without any approximation. The dynamics of a single particle in the rotating field is studied to elucidate he effect of the Mason number and the magnetic susceptibility on the particle motions. Then, we extended our interest to a two-particle problem, focusing on the effect of the initial configuration of the particles on the particle motions. In three-particle interaction problems, the particle dynamics and the fluid flow induced by the particle motions are significantly affected by the particle configuration and the orientation of each particle.

Keywords:Janus magnetic particle;magnetic interaction;numerical simulation;rotating magnetic field

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[1] Ganguly R, Puri IK, Wiley Interdiscip. Rev.-Nanomed. Nanobiotechnol., 2, 382 (2010)

[2] Gao Y, Hulsen MA, Kang TG, den Toonder JMJ, Phys. Rev. E, 86, 041503 (2012)

[3] Gijs MAM, Microfluid. Nanofluid., 1, 22 (2004)

[4] Jung ID, Park JM, Kang TG, Kim SJ, Park SJ, Comput. Mater. Sci., 100, 39 (2015)

[5] Kang TG, Hulsen MA, den Toonder JMJ, Anderson PD, Meijer HEH, J. Comput. Phys., 227, 4441 (2008)

[6] Kang TG, Gao Y, Hulsen MA, den Toonder JMJ, Anderson PD, Comput. Fluids, 86, 569 (2013)

[7] Kawaguchi H, Prog. Polym. Sci, 25, 1171 (2000)

[8] Kim SH, Kim SJ, Park SJ, Mun JH, Kang TG, Park JM, Korea-Aust. Rheol. J., 24(2), 121 (2012)

[9] Melle S, Calderon OG, Rubio MA, Fuller GG, J. Non-Newton. Fluid Mech., 102(2), 135 (2002)

[10] Pamme N, Lab Chip, 6, 24 (2006)

[11] Ren B, Ruditskiy A, Song JH, Kretzschmar I, Langmuir, 28(2), 1149 (2012)

[12] Rikken RSM, Nolte RJM, Maan JC van Hest JCM, Wilson DA, Christianen PCM, Soft Matter, 10, 1295 (2014)

[13] Seong Y, Kang TG, Hulsen MA, den Toonder JMJ, Anderson PD, Phys. Rev. E, 93, 022607 (2016)

[14] Suh YK, Kang S, J. Eng. Math., 69, 25 (2011)

[15] Suzuki H, Ho CM, Kasagi N, J. Microelectromech. Syst., 13, 779 (2004)

[16] van Reenen A, de Jong AM, den Toonder JMJ, Prins MWJ, Lab Chip, 14, 1966 (2014)

[17] Walther A, Muller AHE, Soft Matter, 4, 663 (2008)

[18] Walther A, Muller AHE, Chem. Rev., 113(7), 5194 (2013)

[19] Yan J, Bae SC, Granick S, Soft Matter, 11, 147 (2015)

[20] Yuet KP, Hwang DK, Haghgooie R, Doyle PS, Langmuir, 26(6), 4281 (2010)

[21] Zlatkova BS, Nikolic MV, Aleksic O, Danninger H, Halwax E, J. Magn. Magn. Mater., 321, 330 (2009)